The number of hours of reserve capacity of 10 randomly selected automotive batteries is shown to the right.1.761.881.531.611.771.951.321.581.442.06Assume the sample is taken from a normally distributed population. Construct 90% confidence intervals for (a) the population variance o² and (b) the population standard deviation σ.n

First, we need to calculate the sample mean (x̄) and sample variance (s²). The sample mean is the…

Answered: The number of hours of reserve capacity…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a random sample of seven cell phones, the mean full retail price was $474.50 and the standard deviation was $189.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret the results.
Salaries of 40 college graduates who took a statistics course in college have a mean, x overbar, of $64,200. Assuming a standard deviation, σ, of $12,042, construct a 95% confidence interval for estimating the population mean μ.
The annual earnings of 13 randomly selected computer software engineers have a sample standard deviation of $3700. Assume the sample is from a normally distributed population. Construct a confidence interval for the population variance σ2 and the population standard deviation σ.Use a 95% level of confidence. Interpret the results. What is the confidence interval for the population variance σ2?
leasing firm 2. need d & e
find a random sample size of 61 and a sample mean of 14.8 standard deviation 4.2. find 99%confidence interval what does E=? what is the confidence interval
9. A random sample of 25 statistics examinations was taken. The average score in the sample was 76 with a variance of 144. Assuming the scores are normally distributed, the 99% confidence interval for the population average examination score is a. 70.02 to 81.98 b. 69.82 to 82.18 C. 70.06 to 81.94 d. 69.48 to 82.52
Assume that the heights of bookcases are normally distributed. A random sample of 16 bookcases in one company have a mean height of 67.5 inches and a standard deviation of 1.5 inches. Construct a 99% confidence interval for the population standard deviation, σ. Round to three decimal places
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: Hy #4₂ OC, Hoi ky tuy H₁: Hy O L P H command n X S Time Remaining: 01:13:11 V : • Diet H₁ 30 0.79861 lb 0.00445 lb ; x { [ option ? I Regular H₂ 30 0.80936 lb 0.00742 lb Next delete
Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a recent season, the population standard deviation of the yards per carry for all running backs was 1.36. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 2.6 3.5 3.1 4.6 3.4 4.9 7.4 6.7 4.3 5.2 3.9 4.6 2.9 5.6 6.6 7.3 6.5 7.2 96 1.9 5.6 2.7 22 2.8 5.2 4.1 3.6 Interpret the results. Choose the correct answer below. OA. If a large sample of players are taken approximately 95% of them will have yards per carry between the bounds of the confidence interval. OB. With 95% confidence, it can be said that the population mean yards per carry is between the bounds of the confidence interval. OC. It can be said that 95% of players have a yards per carry between the bounds of the confidence interval.…
Construct a 90% confidence interval for the population mean, μ . Assume the population has a normal distribution. A sample of 15 randomly selected students has a grade point average of 2.81 with a standard deviation of 0.63 .
A random sample of 25 people spent an average of 45 minutes having lunch. a. Assume the population standard deviation (?) is known and equals 10, find a 95% confidence interval for the population mean (μ) b. Assume the population standard deviation (?) is unknown and the sample standard deviation (s) equals 10, find a 95% confidence interval for the population mean (μ)
Cell Phone Lifetimes A recent study of the lifetimes of cell phones found the average is 23.8 months. The standard deviation is 5.8 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable, the sample is taken from a large population, and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator. Round your answer to at least four decimal places. <PX23.8)=

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